# MATH

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(2,14),(1,-1),(3,35)

1) 4a+2b+c=14
2) a+b+c=-1
3) 9a+3b+c= 35

equation 1&2 = 3a + b = 13
equation 1&3 = -5a +5b = -21

• MATH -

It is easier if you write y as:

y = A (x-1)(x-3) + B(x-2)(x-3) +
C(x-2)(x-1)

y(1) = -1 ---->

2 B = -1 --->

B = -1/2

y(2) = 14 ------->

A = -14

y(3) = 35 --------->

C = 35/2

So, we have:

y = -14(x-1)(x-3) -1/2 (x-2)(x-3) +
35/2 (x-2)(x-1) =

3 x^2 + 6 x -10

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